Hello. Is it possible to get help with this question (Math 9.11 Solving Logarithmic Equations)

Given:

The graph for height and width.

Required:

What is the value of the constant in the equation?

Explanation:

From graph, we can evaluate respective values in equation and can get value of constant as:

Answer:

The value of constant equals 3.2

Given:

The cost function is C(x) = 10x + 3000.

Explanation:

The equation for the average cost is,

The inequality for x is,

Solve the inequality for x.

In order to find the total player score, we just need to multiply the average of the player by the number of games in the season. So we have:

So the player score in the entire season would be 297.

The Linear equation 3.6(2x + 5) = 7.2x + 18.3 has no solution except when x is put to be zero.

The provided equation is 3.6(2x + 5) = 7.2x + 18.

This is a linear equation in one variable.

We have to solve the equation for x,

We can solve it by simplifying it,

3.6(2x + 5) = 7.2x + 18

7.2x + 18 = 7.2x + 18

7.2x = 7.2x

7.2x - 7.2x = 0

(7.2-7.2)x = 0

(0)x = 0

x =0/0

Hence, there can not be any value of x.

But, if we put x = 0 in the equation,

Then,

3.6(2(0) + 5) = 7.2(0) + 18

18 = 18

So, x = 0 is satisfying the equation.

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Answer:

B. Find the sum of partial products.

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

Write the equation?

Use:

m (slope) = 1

x = -2

y = 1

y=mx + b

1 = 1(-2) +B

1 = -2 + b   Add 2 to both sides

3 = b

y = mx + b

y = 1x + 3

y = x + 3

Answer:

23x-3

Step-by-step explanation:

5x+2+8x-11+4x+3+3+2x+4x Got this from adding the area around the field

5x+8x+4x+2x+4x+2-11+3+3 I grouped like-terms

23x+2-11+3+3 I added like-terms

23x-3 Then I got

Answer:

Solution below.

Step-by-step explanation:

This question tests on the concept of percentages and comparing current and previous values.

Lets analyse the first statement from the question.

Taylor earned 15% more each week in September than in July.

We know that the formula for percentage change:

((Final Value - Initial Value) ÷ Initial Value) × 100

Comparing July and September,

we know that the change is 15% and the Final Value (September) is $207.

So we can substitute values into the formula to find the value for July.

[tex] \frac{207 - july}{july} \times 100 = 15 \\ \frac{207 - july}{july} = \frac{15}{100} \\ 207 - july = 0.15july \\ 1.15july = 207 \\ july = \frac{207}{1.15} \\ = 180[/tex]

Now we know Taylor earned $180 in July, we can use the same formula to find the amount she earned in August. Given Initial Value (July) = $180 and percentage change = 10% (She earns 10% more in August than in July)

[tex] \frac{sep - 180}{180} \times 100 = 10 \\ \frac{sep - 180}{180} = \frac{10}{100} \\ \frac{sep - 180}{180} = 0.1 \\ sep - 180 = 0.1 \times 180 \\ sep - 180 = 18 \\ sep = 18 + 180 \\ = 198[/tex]

Therefore, Taylor earns $198 per week in September.

The coordinates of B' in the image of the trapezoid upon translation would be; (-2, 2).

It follows from the task content that the coordinates of the point, B' on the trapezoid after the translation (x+3, y-2) has been carried out is to be determined.

On this note, since it follows from the image attached that the coordinates pair of point B, in the trapezoid's pre-image is; (-5, 4).

It simply follows that upon carrying out the transformation; (x+3, y-2) on the trapezoid, the coordinates pair of point B is; (-5+3, 4 -2).

Hence, the required coordinate pair of point B' is; (-2, 2).

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Step 1: Let's review the information given to us to answer the problem correctly:

• p = Principal

• 0.12 = Interest rate

• 224 = Future value

Step 2: Let's write a problem based on this information, using the Simple Interest Formula, as follows:

A = P(1 + rt), where:

A = Final amount

P = Principal

r = Annual interest rate

t = Time in years

224 = P (1 + 0.12t)

224 = 1.12Pt

Pt = 224/1.12

Pt = 200

If P = 200, then t = 1

Step 3: Let's interpret the answer and the problem we just wrote.

What is the amount of principal and the time of deposit for a savings account that earns 12% annually, and shows a final balance of $ 224?

Answer: $ 200 and the period of time is 1 year.

We have that an inverse variation can be represented by the following equation:

In this case we have the ordered pair (8,6), then, we have the following constant of variation:

therefore, the constant of variation is k = 48

This is the solution to a 2 degree equation:

The two numbers that multiply to 54 and add to -21 are the roots of this equation.

We can find the solution of an equation with this form:

With this formula:

For this problem, a = 1, b = -21 and c = 54:

The two numbers are:

The numbers are -18 and -3 (they must be negative so they add up to a negative number)

hello

solve for a

step 1

add 3b to both sides of the equation

reason; we're doing this so that we take -3b to the other side of the equation so the we can have a and it's coefficient on one side of the equation

or we can simply say take -3b to the other side of the equation in order to make it easy to equate a

but note that whenever a variable or real number crosses an equality or inequality sign, the sign changes from either positve (+ve) to negative (-ve) or negative (-ve) to positive (+ve).

in this case, -3b

now we have our equation almost set

step 2

divide both sides by 8 to solve for a

Answer:

Explanation:

Given the function:

The graph of f(x) is attached below:

From the graph, the turning points are:

Prob P = Heads/ flips

. = (n,p,c)

Here n is number of flips

. p is prob of 1 success

. c number of sucess

Then ANSWER IS

OPTION A) binomcdf (100,0.5, 45)

4L = 64

Explanation: The perimeter of a parallelogram (like most other quadrilaterals) is defined as;

P = 2 (L + W)

Where P is the perimeter, L is the length and W is the width. Note that the width is given as 4 metres less than its length, hence if the length is L then the width shall be L-4. The perimeter can now be expressed as follows:

P = 2 (L + [L-4])

If the perimeter is 72, then

72 = 2 (L + L - 4)

72 = 2 (2L - 4)

By expanding the bracket on the right hand side we now have;

72 = 4L - 8

Add 8 to both sides of the equation

72 + 8 = 4L - 8 + 8

80 = 4L

Therefore the equation is 4L = 80

And the Length is 20 metres.

The value of set A union set B is A ∪ B = { 1, 2, 3, 5, 6, 7 }.

Consider the set,

A = { 1, 2, 3 }

And, B = { x | x is an odd whole number less than 8 }

An integer's parity determines whether it is even or odd. If an integer is a multiple of two, it is even; otherwise, it is odd.

Therefore, all the numbers less than 8 are:

1, 3, 5, 7

Therefore, the set B will be:

B = { 1, 3, 5, 7 }

In set theory, the set containing every element in a collection is the union of all its sets.

So,

A ∪ B = { 1, 2, 6 } ∪ { 1, 3, 5, 7 }

A ∪ B = { 1, 2, 3, 5, 6, 7 }

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(a)

The given parameters are:

(b)

The formula to find the margin of error for a 90% confidence interval is given below:

Substitute the value from part (a), to get

Thus, the margin of error is 3.7832.

(d)

The given sample's confidence interval is,

So, the confidence interval is (51.42 to 58.98).

(d)

For 90% confidence interval, the mean weight of chicken consumption is between 51.42 pounds and 58.98 pounds.

Given a number 'a', we have the following general rule for exponent:

in this case, we have:

Answer: 4

Step-by-step explanation:

To find the first term you replace n with 1.

a(1) = 3(1) -7

a(1) = -4

Now that you have the first term you must find the fifth term by filling in 5 for n.

a(5) = 3(5) - 7

a(5) = 15 - 7

a(5) = 8

Now that we have both terms simply add them together to find the sum.

-4 + 8 = 4

Answer:

B is correct.

Step-by-step explanation:

[tex] \frac{5.96 \times {10}^{4} }{2.98 \times {10}^{3} } = 2 \times 10 = 20[/tex]

This is an aproximation of the described situation. We are taking 4 squares of side lenght x from each corner.

The dashed lines mark up what would be the base of the box. The blue scrabbled areas will be the sides of the box.

Recall that to calculate the volume of the box, we need to multiply the lenghts of each side of the base and then multiply it by the height of the box. So, to calculate the volume we need to determine the lenght of the dashed lined.

Let us calculate the lenght of the black dashed lines. Notice that the horizontal side has a total lenght of 14. So, since we are taking 2 squares of side x, we have that the lenght of the dashed line plus twice the lenght x, we get the total lenght of the side. That is

Then the lenght of the black dashed line is 14-2x.

In the same manner, we can calculate the red dashed lines' lenght. It is 10-2x. Now, our box would be

In the picture, the green line represents the height. Comparing the blue and red lines, we have that the lenght of the green line corresponds to the lenght of the side of the square (x).

So now, we know that the volume of the box is

height * lenght of the base * width of the base = (14-2x)*(10-2x) * (x)

which is a polynomial of the variable x.

Cost: 720 kina

Earnings: 37.5%

Then, the selling price should be:

100% + 37.5% = 137.5% of 720 kina

=> 137.5*720/100 = 990 kina

The selling price was 990 kina.

Answer:m = (y – y1)/ (x – x1)

⇒ y – y1 = m(x – x1)….(i)

Step-by-step explanation:

Therefore, in order to find out the distance from station b to the fire, we must use the sine formula, as we know that sine is the opposite side divided by the hypotenuse.

We want to find out the opposite side and we already have the hypotenuse that is 12 miles.

So:

Therefore, station B i 09.456 miles from the fire.

1) Gathering the data

mass = 53 g

V = 12 ml

The density is given using the following formula:

We can use Pythagoras theorem:

Where H=hypotenuse and "a" and "b" are the other sides of the triangule.

In the current problem, we have:

H = 1.7, a = 0.8, b=?

Then:

Half of 340 gallons is:

Let x represent the amount of oil in the second tank, we know that at least 170 gallons were pumped into the first tank, therefore, at most the other half is in the second tank:

Answer: The above inequality in the number line is represented as follows:

Answer:

7

Step-by-step explanation:

First count the sides and draw a line above the shape and you will it's 7